Comptes Rendus
no. 3
Complex analysis
Inequalities involving the multiple psi function
[Inégalités mettant en jeu la fonction psi multiple]

Présenté par : the Editorial Board

Sourav Das1
1 Department of Mathematics, National Institute of Technology, Hamirpur, Himachal Pradesh, 177005, India
Comptes Rendus. Mathématique, Volume 356 (2018) no. 3, pp. 288-292.

Nous considérons ici les fonctions gamma multiples d'ordre n. La dérivée logarithmique de la fonction gamma multiple est la fonction psi bien connue. Nous obtenons des propriétés additives et de convexité des dérivées d'ordre supérieur de la fonction psi multiple. Nous obtenons également quelques inégalités faisant intervenir ces fonctions et leurs quotients.

In this work, multiple gamma functions of order n have been considered. The logarithmic derivative of the multiple gamma function is known as the multiple psi function. Subadditive, superadditive, and convexity properties of higher-order derivatives of the multiple psi function are derived. Some related inequalities for these functions and their ratios are also obtained.

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Accepté le :
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DOI : 10.1016/j.crma.2018.01.014
Sourav Das 1

1 Department of Mathematics, National Institute of Technology, Hamirpur, Himachal Pradesh, 177005, India 
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Sourav Das. Inequalities involving the multiple psi function. Comptes Rendus. Mathématique, Volume 356 (2018) no. 3, pp. 288-292. doi : 10.1016/j.crma.2018.01.014. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2018.01.014/

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